What is 2x+x(x-2)6+x(x-2)(x-4) ?

The solution to 2x+x(x-2)6+x(x-2)(x-4) is x^3-2x

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simplify 2x+x(x-2)6+x(x-2)(x-4)

simplify

2 x + x (x - 2) 6 + x (x - 2) (x - 4)

x^{3} - 2 x

Solution steps

2 x + x (x - 2) \cdot 6 + x (x - 2) (x - 4)

= 2 x + 6 x (x - 2) + x (x - 2) (x - 4)

Expand

6 x (x - 2) : 6 x^{2} - 12 x

= 2 x + 6 x^{2} - 12 x + x (x - 2) (x - 4)

Expand

x (x - 2) (x - 4) : x^{3} - 6 x^{2} + 8 x

= 2 x + 6 x^{2} - 12 x + x^{3} - 6 x^{2} + 8 x

Group like terms

= x^{3} + 6 x^{2} - 6 x^{2} + 2 x - 12 x + 8 x

Add similar elements:

6 x^{2} - 6 x^{2} = 0

= x^{3} + 2 x - 12 x + 8 x

Add similar elements:

2 x - 12 x + 8 x = - 2 x

= x^{3} - 2 x

\frac{1}{m} + \frac{1}{n}

2 x^{2} + 8 x - 4

\frac{( 2 ^{x} \cdot cot ( x ) )}{( x )}

5 y \cdot 2 y

216 x^{12} - 729 y^{21}

What is 2x+x(x-2)6+x(x-2)(x-4) ?
The solution to 2x+x(x-2)6+x(x-2)(x-4) is x^3-2x